Write the equation 2x - 3y = 6 in slope-intercept form.

Solution:

Given equation 2x - 3y = 6

We know that the slope-intercept formula is y = mx + c

Let us arrange the given equation in slope-intercept form

-3y = -2x + 6

3y = 2x - 6

y = (2/3)x - 6/3

y = (2/3)x - 2

Here, slope is 2/3 and intercept is (0,-2)

Write the equation 2x - 3y = 6 in slope-intercept form.

Summary:

The equation 2x - 3y = 6 in slope-intercept form is y = (2/3)x - 2.